ELEVTRBL  Elevator Trouble
You are on your way to your first job interview as a program tester, and you are already late. The interview is in a skyscraper and you are currently in floor s, where you see an elevator. Upon entering the elvator, you learn that it has only two buttons, marked "UP u" and "DOWN d". You conclude that the UPbutton takes the elevator u floors up (if there aren't enough floors, pressing the UPbotton does nothing, or at least so you assume), whereas the DOWNbutton takes you d stories down (or none if there aren't enough). Knowing that the interview is at floor g, and that there are only f floors in the building, you quickly decide to write a program that gives you the amount of button pushes you need to perform. If you simply cannot reach the correct floor, your program halts with the message "use the stairs".
Given input f, s, g, u and d (floors, start, goal, up, down), find the shortest sequence of button presses you must press in order to get from s to g, given a building of floors, or output "use the stairs" if you cannot get from s to g by the given elevator.
Input
The input will consist of one line, namely f s g u d, where 1 <= s, g <= f <= 1000000 and 0 <= u, d <= 1000000. The floors are oneindexed, i.e. if there are 10 stories, s and g be in [1; 10].
Output
You must reply with the minimum numbers of pushes you must make in order to get from s to g, or output "use the stairs" if it is impossible given the conguration of the elevator.
Example
Input: 10 1 10 2 1 Output: 6
Input: 100 2 1 1 0 Output: use the stairs
hide comments
aniket_7781:
20210624 17:00:56
bfs ... n check for s==g tc : 11 ;) 

anuragkanwar:
20210213 18:39:12
those who are getting TLE, you must check the size of arrays UwU...(give size very large , s.t. it is large enough to cover all the values...) 

amdee07:
20201231 17:49:33
AC in one go!!! bfs 

bhargav_07:
20201213 14:52:17
Thanks, @ak8325 :) 

leanbow__1:
20201104 12:15:27
Don't know why no one is talking about simple use of DP in this question!


pradeep_7:
20201016 18:57:22
Exmple For TestCase 12 :


harry_shit:
20200823 18:54:50
thanks @prateekpandey :) 

akt_114:
20200616 23:58:29
AC in one go. SImple bfs. No need to construct graph! 

seemantagg:
20200616 19:07:46
SPOJ submission 26154741


manish_thakur:
20200525 20:24:08
@aabbccdd savage! :D 
Added by:  Krzysztof Lewko 
Date:  20111006 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ASM64 
Resource:  Nordic programming contest 